Find the exact location of all the relative and absolute extrema of the function. (Order your answers from smallest to largest x.) f(x) = 15x4 − 10x3 with domain [−1, +∞)

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Q: 1. f(-2)=-13 9(-2)=11 (f+9) (-2)=

A: given  f(-2)=-13  and  g(-2)=11

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A: We have to find the maximum profit

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Q: Change the point (4, -pi/4, 2) to rectangular coordinates

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Q: PROBLEM NUMBER 18 Estimate the area of the region between f(x) = x³ - 2x² + 4 the x-axis on [1,4]…

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Q: 10. Use Green's Theorem to evaluate the line integral fy³ dx − x³dy if C is the circle of radius 2…

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Q: The area under the graph of f over the interval [-3, 3] 15 ifx<1, f(x) = 5x², ifx ≥1

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Q: Find the area of the region bounded by y2 = 8x and y = 2x. A. B. C. D. 1.22 sq. units 1.33 sq. units…

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Q: _y=x² X Find the area of the shaded region. a) Draw the representative b) Set the working element ир…

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Q: f(-2)=-13 and g(-2) = 11

A: f-2=-13 and g-2=11

Q: Please solve and show all work. Let y = (x² + 1)³. Find the differential dy when x = 2 and dx = 0.4…

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Q: 5. An electronics store sells three models of tablets. The number of each model sold during "Black…

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Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of - x² + 7x between x =…

A: The region is bounded by the curve  -x2+7x between x=2 to x=5

Q: firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A: A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

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A: Given: d=1.5tv+0.06v2 Speed limit=v=45 mph=0.0125 miles/s Reaction time= 1 sec

Q: -Integrate the square root of (1-cosx) dx. 4. -2√2 cos-—-x+C 3. -2 √2 cos x+C C. 2√2 cos-x+C D. -2…

A: according to bartleby guide line we do only first part of multipart question integration of square…

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Q: Solve the given linear 1st order IVP. Give the largest interval I over which the solution is defined…

A: y'+tanxy=cos2x ,y(0)=-1

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A: NOTE: Refresh your page if you can't see any equations. . the growth rate function is where t=…

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A: Given, The total cost  Cx = 2500+300ln5x+1  Where x the number of Blazing Blue snowmobiles produced…

Q: K Find the equation of the line tangent to the graph of f(x) = (In x)2 at x = 8. **** y-0 (Type your…

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Q: Evaluate A. B. C. D. x/6 27T 363 35k 768 23T 765 12T 81 √(cos3AjºdA.. 1 Integrate 3x + 4 evaluate…

A: To evaluate ∫0π6cos3A8 dA. Note: Since the student has posted multiple questions and does not…

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Q: What is the area (in square units) bounded by the curve y2 = 4x and x² = 4y? A. 5:33 B. 6.67 C. 7.33…

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Q: 2. Let f(x)=-2x+1, g(x)=x²–2x+1 and h(x)=x²-1. Determine all values of x such that f(x)<g(x)<h(x)…

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Q: 4. Evaluate the line integral xezds, where C is the line segment from (0,0,0) to (1,4,9). C

A: We have to find the line integral  ∫C xeyz ds ,  where C is the line segment from (0, 0, 0) to (1,…

Q: 18. y = tan 5x³ sec¹6x7 cos 8x6

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Q: Find the domain of the function. f(x) = log₁0 10 (x+9)(x-2) x-3

A: f(x)=log10(x+9)(x-2)(x-3)

Q: Find the second derivative of the function. f(x) = f "(x) = X X - 7

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Q: following functions: (a) f(x) = x² + 3x (b) f(x)=√x+1 (c) f(x) 16. For each of the functions in the…

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Q: Sketch the region of integration and evaluate the following integral using a method of your choice…

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Q: Please solve and show all work. Find the linear approximation of f(x) = ln x at x = 1 and use it to…

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Q: dz Find given: dt z = xe³y, x= t³, y = 3 + 6t dz dt 11 = Your answer should only involve the…

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Q: For the given function and values, find Af and df. (Round your answers to three decimal places.)…

A: Given function f( x , y ) = x2 + xy + y3x = 2 , ∆x = dx = 0.7y = 1 , ∆y = dy = -0.1

Q: 5x² 이 sin (8x) dx = 5 1 xcos(x) + 1 256 (8xsin(x) + cos(8x)) + C

A: We need to integrate: ∫5x2 sin8x dx We can solve this using integral by parts.

Q: X to] 2 10 2 ● B

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Q: 3. f(-2)=-13 (-2)= (fa) (-2)=

A: The multiplication of two function is: fgx=fxgx

Q: 4. f(-2)=-13 91-2)=11 (f/g)(-2)=

A: A function is a relation such that each and every element in the domain has a unique image in the…

Q: Se sinx cas x dx

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Q: 2. Find the directional derivative of f(x,y) = x cos y in the direction of v = 22, -1). A. (2 cos y…

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Q: - Given the function f(x) = 2x - x² defined on [0,1] which is partitioned into n subintervals. (a)…

A: f(x) = 2x - x2 x ∈ [0, 1] The right Reimann sum is given by, Sum = ∆x ∑i = 1nf(xi)∆x = b - anwhere,…

Q: Please solve and show all work. Consider the function f(x) = 2x³-12x² - 72x + 7 on the interval [-4,…

A: F(x) = 2x33-12x2-72x+7 X€[-4,7]

Q: The graph of y√ is given below: = -5-4-3-2-1 4 3 2 + 44 -24 -3 Find a formula for each of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A satellite dish is shaped like a paraboloid. The receiver is to be located at the focus. If the…

A: A satellite dish is shaped like a paraboloid. The receiver is to be located at the focus. If the…

Q: 2 tan 2x sec" 2x dx

A: The given integral is tan32x sec22x.

Q: Find the area of the region bounded by y = 8x and y = 2x. A. B. C. D. 1.22 sq. units 1.33 sq. units…

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…